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Hecke Algebra
Height (of a Prime Ideal)
Hensel's Lemma
Hilbert Basis Theorem
Hilbert Function
Hilbert Polynomial
Hilbert Series
Hilbert's Nullstellensatz
Hilbert–Samuel Multiplicity
Hochschild Homology
Hochschild–Kostant–Rosenberg Theorem
Hodge Decomposition
Homogeneous Structure
Homogenization
Homological Perturbation Lemma
Homomorphism
Homotopy Transfer Theorem
Hopf Algebra
Horn Theory
HSP Theorem